The Bavarians can extend their run to 35 games without loss, one shy of Hamburg's 39-year-old record, by avoiding defeat against the capital club
The European champions last lost a league fixture in October 2012, to Bayer Leverkusen, and are now just two matches away from equalling the longest unbeaten streak in the history of German top-flight football.
That record – set by Hamburg in 1974 – was challenged by Borussia Dortmund last year, but they saw their streak ended at 31 games.
Bayern have the chance to edge closer at the Allianz Arena on Saturday in an encounter that pits the table-toppers against a Hertha side who have defied the odds to sit fourth after nine matches.
Pep Guardiola's Bayern strolled past Viktoria Plzen on Wednesday, thrashing the Czech side 5-0 in the Champions League to extend their 100 per cent record in the competition this season.
Franck Ribery scored twice, while David Alaba, Bastian Schweinsteiger and Mario Gotze also netted in a comprehensive win for the European champions.
Bayern, who have scored 25 goals in their last eight matches in all competitions, interestingly have just one player in the top 20 of the league's scoring charts.
Their even spread of goals means only one player has scored more than three times in the Bundesliga this season, that being Croatian Mario Mandzukic with five.
Bayern striker Claudio Pizarro tore his thigh in training on Thursday and will miss at least a month, joining Xherdan Shaqiri (thigh) and Holger Badstuber (knee) on the sidelines.
Midfielder Thiago Alcantara returned to training on Thursday but is not expected to return soon as he recovers from an ankle injury.
For Hertha, the chance to play on one of the biggest stages in European football is a great reward for last season's second-tier champions.
Hertha won the division by nine points last season, inspired by the form of Brazilian midfielder Ronny, who scored 18 goals.
He already has three this season, while Tunisia forward Sami Allagui has netted five, with their goals helping Jos Luhukay's side surge into a Champions League qualifying place.
All of the club's four wins in the Bundesliga have come in the German capital, with their away record showing three draws and one defeat.